List of top Mathematics Questions asked in CUET (PG)

Find the sum of two consecutive numbers in which four times are first number is 12 more than the thrice of the second number

Which of the following are generators of the multiplicative group {(1,2,3,4,5,6), x₇} where x₇ denotes multiplication moduls 7?

If log₃2,log₃(2^x-5) and log₃(2^x-7/2) are in A.P., then x is equal to

In a group G, if a⁵ = e, aba^-1 = b² for a, b ∈ G then o(b) is equal to:

The value of the dot product of the eigenvectors corresponding to any pair of different eigen values of a 4 × 4 symmetric positive definite matrix is

The order of 16 in \((\mathbb{Z}_{24}, +_{24})\) is:

The equation of the bisector of the acute angle between the lines 3x-4y+7=0 and 12x+5y-2=0

Which one of the following statements is wrong.

A beam is supported at its ends by supporters which are 12 meters apart. Since the load is concentrated at its centre, there is a deflection of 3 cm at the centre and the deflected beam is in the shape of a parabola. How far from the centre is the deflection 1 cm?

In a class of 49 students, the ratio of girls to boys is 4:3. If 4 girls leave the class, the ratio of girls to boys would be

The tangent to the hyperbola x²-y² = 3 are parallel to the straight line 2x + y +8=0 points are

If income of A is 20% more than that of B, then income of B is how much percent less than that of A?

The number of common tangents that can be drawn to the circle x²+y²-4x-6y-3=0 and x²+y²+2x+2y+1=0 is

The Value of \(lim_{n\rightarrow \infty }\bigg[\frac{2}{1}\bigg(\frac{3}{2}\bigg)^2\bigg(\frac{4}{3}\bigg)^3.....\bigg(\frac{n+1}{n}\bigg)^n\bigg]^{\frac{1}{n}}is\)

If 2.5x=0.05 y, then find the value of \((\frac{y-x}{y+x}).\)

If A, G, H be respectively, the A.M., G.M., and H.M. of three positive numbers a, b, c; then the equation whose roots are these numbers is given by

A rectangular box open at the top is to have volume of 32 cubic feets. The minimum outer surface area of the box is

Which one of the following is correct :-

The sequence is

The area of the region bounded by the curve x²=4y and the straight line x = 4y - 2 is

The area of region bounded by the curve y²=x, the y-axis and between y = 2 and y = 4 is

The value of \(\int\limits_C \frac{\sin\pi z^2+\cos\pi z^2}{(z-1)(z-2)}dz\), where C is the circle |z|=3 is

The function f(z) defined by \(f(z)= \begin{cases}     \frac{Re(z)}{z}       & z\neq0\\     0  & z=0   \end{cases}\)then which one of the following is true?

The volume generated by the revolution of the cardiod r = a(1-cosθ) about x-axis is

If f(x) satisfies the conditions of Rolle's theorem in [1, 2] and f(x) is continuous in [1, 2], then \(\int_1^2f'(x)dx\) is equal to